Question

jun, who lives in the united states, is on a trip to south america. he is going first to argentina, where the currency is the argentine peso ($), then to bolivia, where the currency is the bolivian boliviano (bs.). as he is traveling from argentina to bolivia, he finds that he has the equivalent of us $671 in pesos, which he wishes to convert to bolivianos. if, at the time of juns exchange, the exchange rate of the us dollar to the argentine peso is 1:3.8056 and the exchange rate of the argentine peso to the bolivian boliviano is 1:1.8903, how many bolivianos does jun have? round all currencies to two decimal places.
a. 93.28 bs.
b. 1,268.39 bs.
c. 2,553.56 bs.
d. 4,826.99 bs.

Explanation:

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<reasoning>

Convert US dollars to Argentine pesos

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &\text{USD Amount} = 671 \\ &\text{USD to ARS Rate} = 1 : 3.8056 \\ &\text{ARS Amount} = 671 \times 3.8056 = 2553.5576 \approx 2553.56\text{ ARS} \end{aligned}$$

\]

Convert Argentine pesos to Bolivian bolivianos

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &\text{ARS to BOB Rate} = 1 : 1.8903 \\ &\text{BOB Amount} = 2553.5576 \times 1.8903 = 4826.9999 \approx 4827.00\text{ BOB} \end{aligned}$$

\]
Alternatively, using the rounded ARS value:
\[

$$\begin{aligned} &\text{BOB Amount} = 2553.56 \times 1.8903 = 4827.0044 \approx 4827.00\text{ BOB} \end{aligned}$$

\]
Let's check the options. Option (d) is 4,826.99 Bs. Let's calculate without intermediate rounding:
\[
671 \times 3.8056 \times 1.8903 = 4826.9999
\]
If we round the intermediate step to two decimal places first:
\[
\text{ARS} = 2553.56
\]
\[
\text{BOB} = 2553.56 \times 1.8903 = 4827.00
\]
If we round at the very end:
\[
4826.9999 \approx 4827.00
\]
Let's check if there is a slight rounding discrepancy in the question's options where they truncated or rounded differently:
\[
2553.5576 \times 1.8903 = 4826.9999
\]
If they truncated to two decimal places:
\[
2553.55 \times 1.8903 = 4826.98
\]
If they used:
\[
671 \times 3.8056 = 2553.5576 \approx 2553.56
\]
Then:
\[
2553.56 \times 1.8903 = 4827.00
\]
Option (d) is 4,826.99 Bs., which is extremely close to 4,827.00 Bs. and is the only option in this range.
</reasoning>

<answer>
<mcq-option>(a) 93.28 Bs.</mcq-option>
<mcq-option>(b) 1,268.39 Bs.</mcq-option>
<mcq-option>(c) 2,553.56 Bs.</mcq-option>
<mcq-correct>(d) 4,826.99 Bs.</mcq-correct>
</answer>

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Answer:

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<reasoning>

Convert US dollars to Argentine pesos

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &\text{USD Amount} = 671 \\ &\text{USD to ARS Rate} = 1 : 3.8056 \\ &\text{ARS Amount} = 671 \times 3.8056 = 2553.5576 \approx 2553.56\text{ ARS} \end{aligned}$$

\]

Convert Argentine pesos to Bolivian bolivianos

Using the Currency Conversion knowledge point
\[

$$\begin{aligned} &\text{ARS to BOB Rate} = 1 : 1.8903 \\ &\text{BOB Amount} = 2553.5576 \times 1.8903 = 4826.9999 \approx 4827.00\text{ BOB} \end{aligned}$$

\]
Alternatively, using the rounded ARS value:
\[

$$\begin{aligned} &\text{BOB Amount} = 2553.56 \times 1.8903 = 4827.0044 \approx 4827.00\text{ BOB} \end{aligned}$$

\]
Let's check the options. Option (d) is 4,826.99 Bs. Let's calculate without intermediate rounding:
\[
671 \times 3.8056 \times 1.8903 = 4826.9999
\]
If we round the intermediate step to two decimal places first:
\[
\text{ARS} = 2553.56
\]
\[
\text{BOB} = 2553.56 \times 1.8903 = 4827.00
\]
If we round at the very end:
\[
4826.9999 \approx 4827.00
\]
Let's check if there is a slight rounding discrepancy in the question's options where they truncated or rounded differently:
\[
2553.5576 \times 1.8903 = 4826.9999
\]
If they truncated to two decimal places:
\[
2553.55 \times 1.8903 = 4826.98
\]
If they used:
\[
671 \times 3.8056 = 2553.5576 \approx 2553.56
\]
Then:
\[
2553.56 \times 1.8903 = 4827.00
\]
Option (d) is 4,826.99 Bs., which is extremely close to 4,827.00 Bs. and is the only option in this range.
</reasoning>

<answer>
<mcq-option>(a) 93.28 Bs.</mcq-option>
<mcq-option>(b) 1,268.39 Bs.</mcq-option>
<mcq-option>(c) 2,553.56 Bs.</mcq-option>
<mcq-correct>(d) 4,826.99 Bs.</mcq-correct>
</answer>

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